Plenty of RPGs profess to let you play your way, only to occasionally punish you by placing your weak but charismatic character in unavoidable battles. (I'm looking at you, KOTOR I and II. ) Now comes news that Torment: Tides of Numenera will allow you to complete the game without fighting at all:

Because the Crisis system leads us to build fewer but more expansive turn-based, tactical portions of the game, we don’t plan to have any areas densely populated with groups of mobs you are forced to fight. While all Crises present tactical challenges, some are more likely than others to lead to combat, and at times combat will be the most straightforward solution to the problem at hand. But even if the player finds him/herself in a spot where they have no choice but to fight, non-combat build options (Skills, Esoteries, Tricks of the Trade) will frequently offer a benefit. Players can attempt to converse with intelligent enemies, using their PC’s features to broker peace, frighten their opponents into losing morale, or simply distract them so their allies can gain the upper hand. In addition, many esoteries grant Fettles (the TTON term for status effects) that could weaken opponents’ resolve and leave them more susceptible to conversation options, disable them long enough to flee, or even charm them into helping the party. If your party is still in danger, exploration abilities and skills can be used to open paths to escape or inflict damage on the enemy without any attacks (as in the gantry example in the Crisis question above).

As we’ve stated before, we plan for it to be possible to complete TTON without engaging in combat at all. Players can finish or avoid every Crisis using social, stealth, and exploration abilities. Having said that, we haven’t promised that it will be easy. It will likely require very careful decision making and smart character build choices to complete the whole game without throwing a single punch/self-propelled energy projection device.

RPG Codex has much more information on the new Torment, including how the gender of the player's character will impact the game.